Question

The brakes & tires of a car can provide a maximum deceleration of around 6m/s2.If a car is traveling at 100km/h what is the minimum distance in which it could stop?
please answer fast

Answer 1

Answer:

64.31 m

Explanation:

According to the given question,

a = acceleration

it's asking minimum distance. We know for minimum distance, deceleration must be maximum.

and -a = deceleration = 6m/s^2

u = initial velocity = 100 km/h = 100×1000/3600 = 27.78 m/s

v = final velocity = 0 m/s

s = displacement

Here displacement is equal to the distance as it's a linear motion without changing it's direction.

We know,

• v^2 = u^2 + 2as

Putting the values we get,

• 0 = 771.72 - 2×6×s

• 12s = 771.72

• s = 771.72/12

• s = 64.31 m

Thus, distance travelled by the car is 64.31 m when it's deceleration is 6 m/s^2 and initial velocity is 100 km/h.